Pith Number

pith:VT4IVZ7A

pith:2025:VT4IVZ7AKIQ4FZYEH36VUKR3T5

not attested not anchored not stored refs pending

Persistent homology of function spaces

Fedor Manin, Jonathan Block, Shmuel Weinberger

arxiv:2505.16907 v1 · 2025-05-22 · math.AT · math.DG · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VT4IVZ7AKIQ4FZYEH36VUKR3T5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T11:07:43.243490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acf88ae7e05221c2e7043efd5a2a3b9f7e8999300ea9572dba6b8e911f0a7d92

Aliases

arxiv: 2505.16907 · arxiv_version: 2505.16907v1 · doi: 10.48550/arxiv.2505.16907 · pith_short_12: VT4IVZ7AKIQ4 · pith_short_16: VT4IVZ7AKIQ4FZYE · pith_short_8: VT4IVZ7A

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VT4IVZ7AKIQ4FZYEH36VUKR3T5 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: acf88ae7e05221c2e7043efd5a2a3b9f7e8999300ea9572dba6b8e911f0a7d92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dc7f1edab2d10b09e034cc56a8a972bcd8c090967248ba473aed6ad8557be80",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-05-22T17:07:20Z",
    "title_canon_sha256": "1a591b3afc3463c7fb31271abf8c60ad4fa2512ab5c0d46c9b365b9d1a3da74d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.16907",
    "kind": "arxiv",
    "version": 1
  }
}